# selector

Let $S$ be a collection^{} of sets. A *selector* of $S$ is by definition a set $\{f(R)|R\in S\}$ where $f$ is a choice function on $S$ (that is $f(R)\in R$).

There is a different selector of $S$ for every choice function $f$.

Title | selector |
---|---|

Canonical name | Selector |

Date of creation | 2013-03-22 16:35:46 |

Last modified on | 2013-03-22 16:35:46 |

Owner | porton (9363) |

Last modified by | porton (9363) |

Numerical id | 7 |

Author | porton (9363) |

Entry type | Definition |

Classification | msc 03E25 |

Related topic | ChoiceFunction |

Related topic | Collection |